202210011001120 has 48 divisors (see below), whose sum is σ = 481208166742968. Its totient is φ = 80293610199040.

The previous prime is 202210011001067. The next prime is 202210011001121. The reversal of 202210011001120 is 21100110012202.

202210011001120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 191442976309264 + 10767034691856 = 13836292^2 + 3281316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 202210011001120.

It is not an unprimeable number, because it can be changed into a prime (202210011001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4612432711 + ... + 4612476550.

Almost surely, 2^{202210011001120} is an apocalyptic number.

202210011001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202210011001120 is an abundant number, since it is smaller than the sum of its proper divisors (278998155741848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202210011001120 is a wasteful number, since it uses less digits than its factorization.

202210011001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9224909413 (or 9224909405 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202210011001120 its reverse (21100110012202), we get a palindrome (223310121013322).

The spelling of 202210011001120 in words is "two hundred two trillion, two hundred ten billion, eleven million, one thousand, one hundred twenty".